Finding the Third Proportional to 29,152 and 42,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   29,152 : 42,580.50 = 42,580.50 : x
2. Step 2: Convert to fraction form
   29,152/42,580.50 = 42,580.50/x
3. Step 3: Cross multiply
   29,152x = 42,580.50 × 42,580.50
4. Step 4: Simplify right side
   29,152x = 1,813,098,980.25
5. Step 5: Solve for x
   x = 1,813,098,980.25/29,152
6. Step 6: Final answer
   x = 62,194.67